QJEEM24Ma3beb: JEE Main 2024 Mathematics - Class 11 JEEM24Ma3beb Solution: If , then, is :

Question

Verified Solution • 2025–26 Session moderate

If

S=\{z \in C:|z-i|=|z+i|=|z-1|\}

, then,

n(S)

is :

Accepted Answer

$| z - i | = | z + i | = | z - 1 |$

JEE Main 2024 (Online) 27th January Morning Shift Mathematics - Complex Numbers Question 31 English Explanation

$ABC$ is a triangle. Hence its circum-centre will be the only point whose distance from A, B, C will be same.

So $n (S) = 1$

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